SUMMATIVE ASSESSMENT-11( ) MATHEMATICS Class -IX

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1 ,( SUMMATIVE ASSESSMENT-11( ) LQP9573 MATHEMATICS Class -IX Time allowed: 3hours Maximum Marks: 90 General Instructions: (i) (ii) (iii) (iv) All questions are compulsory. The question paper consists of 31 questions divided into five sections A, B, C,D and E. Section-A comprises of 4 questions of 1 mark each, Section-B comprises of 6 questions of 2 marks each, Section-C comprises of 8 questions of 3 marks each and Section-D comprises of 10 questions of 4 marks each. Section E c~;""..ises of two questions of 3 marks each and 1 question of 4 marks from C'P!'u rr:. theme. There is no overall choice. Use of calculator is not permitted. SECTION-A Question numbers 1 to 4 carry one mark each. 1 Write the equation of a line which is parallel to x-axis and is at a distance of 2 units from the 1 origin. 2 Represent y = 3x + 5 in the standard form of linear equation in two variables. 1 3 Why we cannot constm-:'.< triangle of given sid=s as 5 em, 5 em and 1 10cm? 4 If the radius of the sphere is doubled, Find the ratio of volume of the new sphere to the original 1 sphere. Page 1 of 7

2 SEcnON-B Question numbers 5 to 10 carry two marks each. 5 2 In.ilXYZ, A and B are points on sides XZ and YZ respectively. ABIIXY,than show that ar (.ilaox)= ar (.ilboy) YA and YB intersect at O. If Z 6 2 In the given figure, AB and Be are two chords equidistant bisects LABC. from the centre O. Prove that BO B,,'..:1;..~'".:.' \ \ I :' I \ ( " I \ '\ r I J \ I. -, \ I \ /'. 0"-. \ i \ I,' - ", / <t:,,~/ l',."._.---7c~ 7 In a quadrilateral PQRS, LP: LQ: LR=2: 3: 7 and LS=60. Find LQ. 2 8 The radius and slant height of a cone are in the ratio 4 : 7. If its curved surface area is 792 cm 2, 2 find its radius. 9 Following is the data about the months of birth of 40 students in class IX : 2 Feb, [an, July, June, March, Feb. Feb, Feb, Nov. [an, [an, Dee, May, June, June, July, June, ov, Page 2 of 7

3 Dee, June, July, June, August, Dec, June, March, July, July, June, Dec, Sep, March, [an, Dee, june, Dee, Sep, March, [an, ov. One student is chosen at random. Find the probability that the student chosen:.~ Was not born in the month of June. 10 Check whether ~ can be an empirical probability 6 or not. Give Reasons. 2 SECTION-C Question numbers 11 to 18 carry three marks each. 11 Find three solutions of linear equation 7x - 5y = 35 in two variables Express y in terms of x for the equation 4x+7y=14. Check which of the points (0, 2), (7...,0) and (2, 1) 3 2 lie on the graph of this equation In.0.PQR; X, Y and Z are respectively the mid-points of sides PQ, QR and PR. If ar (ilxpz) =12 cm-, find ar (.0.ZYR). p X, / L Q I " \. ~z I,I \ \I y Y R 14 3 In the given figure, 0 is the centre of the circle, If LBAC=x and LOBC=y,prove that x-y590. Page 3 of 7

4 c A 15 Draw,\11 angle of using protractor. Bisect it and verify the result PQRS is a quadrilateral whose diagonals bisect each other at right angles. Prove that PQRS is 3 a rhombus In the given figure, 0 is the centre of the circle, LADC==110 measure oflcbe. and chord BC==ehord BE. Find the B E 18 A heap of paddy is in the form of a cone whose radius is 2.1m and height is 3 2,.8 m. JJ the heap is to be covered exactly by a canvas to protect it from rain, then find the area of the canvas required. SECTION-D Question numbers 19 to 28 carry four marks each., i I,. 19 Sum of two numbers is 8. Write this in the form of a linear equation in two variables. Also, 4 draw the line given by this equation. Find graphically the numbers, if difference between them is 2. Page 4 of 7 I.

5 20 4 \\ rite the equations of the lines drawn in the following graph. Also, find the area enclosed betwe. a them. y t 4 P ~ 3 ṉ ~--'r "I O.I ::I 4-1- <E 2 n w..! -4 r x 21 4 In a quadrilateral PQRS, diagonals PR and QS intersect each other at 0 such that ar(.1pos)=ar(l\qor). If distance between sides PQ and SR is 4 em, PQ==3em and SR==7em, find arfpqrs). 22 PQ and RS are two parallel chords of a circle whose centre is 0 and radius is 10 cm. If PQ=16 4 em and RS==12em, find the distance between PQ and RS when they lie, (i) on the same side of centre O. (ii) on the opposite sides of centre O. 23 Construct a ABC in which BC=7.2em, LB560 and AB+AC=15em Page 5 of 7

6 In the figure, PQRS is a parallelogram in which, A and B are the midzpoints of sides QR and PS respectively. PA and RB intersect diagonal QS at D and C respectively. If QS=12 ern, then find (-]1(> length of CD. S ~R i: r p ~---~Q 25 A conical heap is formed when a farmer poms food grains on a ground. The slant height of 4 heap i 35 cm. The circumference of the base is 132 cm. What amount of tarpaulin is needed to cover the grains? Farmer goes to the orphanage and gives half of the food grains for the children living there. How much grains farmer donated? List values you learn from this act of the farmer. 26 The radius and height of a cylinder are in the ratio 4 : 7. Find the radius and height of the 4 cylind.-r if its volume is 1188 cu cm. Also find its total surface area. 27 The sum of the radius of the base and height of a solid cylinder is 37m. If the total surface 4 area of the solid cylinder is 3256m 2, find the volume of the cylinder. 28 Three r oins are tossed simultaneously 450times. The distribution of various outcomes 4 is listed below. (i) Three tails: 70 (ii) Two tails: 150, (iii) One tail: 120, (iv) No tails: 110. Find the probability of each event. SECTION-E Open Text) (* Please ensure that open text of the given theme is supplied with this question paper.) Theme' Atithidevo Bhavah Page 6 of 7

7 29 Refer to table-z and answer the following questions: 3 What do you observe about FTAs in India from various Regions/Countries over the period of two yt'<trs? 30 For graphical representation of PTA during the years , which is more suited - bar 3 graph Ill' histogram? Why? 31 Calculate the mean of percentage difference as compared to last years for the years given 4 below -,---- year Percentage difference I ;3-7+ f----- ~~) ".) 18-1 f "-- State tj l~' years in which mean percentage is less than the given percentage difference, Page 7 of 7

SUMMATIVE ASSESSMENT II, / MATHEMATICS IX / Class IX CBSETODAY.COM. : 3 hours 90 Time Allowed : 3 hours Maximum Marks: 90

SUMMATIVE ASSESSMENT II, / MATHEMATICS IX / Class IX CBSETODAY.COM. : 3 hours 90 Time Allowed : 3 hours Maximum Marks: 90 SUMMATIVE ASSESSMENT II, 06-7 / MATHEMATICS IX / Class IX : hours 90 Time Allowed : hours Maximum Marks: 90.... 6 0 General Instructions:. All questions are compulsory.. The question paper consists of